Sequence: pattern of numbers
that is governed by given rules Term: member of a sequence, labeled by its position (ex. 1st
term, 2nd term) More than / Greater than: addition (ex. 3 more than an unknown
number = x + 3) Less than / Smaller than: subtraction (ex. 3 less than an unknown
number = x – 3) Times / Of: multiplication (ex. 15% of an unknown number = .15x)
TIPS FOR ABSOLUTE
VALUE PROBLEMS Tip 1: Take your time to make sure that you
"translate" sequence problems
question
correctly. Often the key to getting the right answer is not Math at all
but
translating the English in the question into the proper Math equation.
Tip 2: Sequence problems are about patterns.
Either the question gives you the
pattern
(in the form of an equation) or asks you to identify the pattern.
SAMPLE PRACTICE
QUESTION FOR SEQUENCES x,
13, 43, y, z, 1213,…
In the above sequence, each term after the first term, x, is
4 more
than 3 times the previous term. What is the sum of x + z?
Solution
1)
First, find x --> The 2nd term is (13 =) --> 3 times the
1st term (3x) --> plus 4 (+ 4) --> 13 = 3x + 4
--> x = 3
2)
Next, find y --> The 4th term is (y =) --> 3 times
the 3rd term (43 • 3) --> plus 4 (+ 4) --> y = 43(3)
+ 4 --> y = 133
3)
Finally, find z --> The 5th term is (z =) -->
3 times the 4th term (133 • 3) --> plus 4 (+ 4) --> z
= 133(3) + 4 --> z = 403